Atkin-Lehner |
2- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
75712cg |
Isogeny class |
Conductor |
75712 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-56374349711540224 = -1 · 224 · 76 · 134 |
Discriminant |
Eigenvalues |
2- -2 3 7+ -6 13+ -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,10591,-11412257] |
[a1,a2,a3,a4,a6] |
j |
17546087/7529536 |
j-invariant |
L |
0.66119512151824 |
L(r)(E,1)/r! |
Ω |
0.16529878758684 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75712bi2 18928q2 75712dc2 |
Quadratic twists by: -4 8 13 |